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Article
Generalized Killing Ricci tensor for real hypersurfaces in the complex hyperbolic quadric
We introduce the notion of generalized Killing Ricci tensor for real hypersurfaces in the complex hyperbolic quadric $${{Q^m}^*}={SO^0_{2,m}/S...
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Article
On the Riemannian Curvature Tensor of a Real Hypersurface in Complex Two-Plane Grassmannians
We prove the nonexistence of Hopf real hypersurfaces in complex two-plane Grassmannians such that the covariant derivatives with respect to Levi-Civita and kth generalized Tanaka–Webster connections in the direct...
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Article
Real hypersurfaces in complex hyperbolic two-plane Grassmannians with commuting restricted normal Jacobi operators
We give a classification of Hopf real hypersurfaces in complex hyperbolic two-plane Grassmannians SU2,m/S(U2·U m ) with commuting conditions between the restricted normal Jacobi ...
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Article
Ricci Semi-symmetric Hypersurfaces in Complex Two-Plane Grassmannians
In this paper, we considered Ricci semi-symmetric real hypersurface in complex two-plane Grassmannians. Then we prove the non-existence of Ricci semi-symmetric Hopf hypersurfaces in complex two-plane Grassmann...
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Article
Real Hypersurfaces in Complex Hyperbolic Two-Plane Grassmannians with Commuting Structure Jacobi Operators
In this paper, we introduce a new commuting condition between the structure Jacobi operator and symmetric (1,1)-type tensor field T, that is, ...
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Article
Semi-parallel symmetric operators for Hopf hypersurfaces in complex two-plane Grassmannians
In this paper, we introduce new notions of semi-parallel shape operators and structure Jacobi operators in complex two-plane Grassmannians ...
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Article
Hopf Hypersurfaces in Complex Two-Plane Grassmannians with Reeb Parallel Shape Operator
In this paper, we consider a new notion of Reeb parallel shape operator for real hypersurfaces \(M\) ...
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Article
Hopf hypersurfaces in complex two-plane Grassmannians with generalized Tanaka-Webster parallel normal Jacobi operator
We study the classifying problem of immersed submanifolds in Hermitian symmetric spaces. Typically in this paper, we deal with real hypersurfaces in a complex two-plane Grassmannian G 2(ℂ ...